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Finding the Fourth Proportional to 11,771.49, 17,657.37 and 3,874.53

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Solution

The fourth proportional to 11,771.49, 17,657.37 and 3,874.53 is: 5,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.49 : 17,657.37 = 3,874.53 : x
  2. Step 2: Convert to fraction form
    11,771.49/17,657.37 = 3,874.53/x
  3. Step 3: Cross multiply
    11,771.49x = 17,657.37 × 3,874.53
  4. Step 4: Simplify right side
    11,771.49x = 68,414,009.79
  5. Step 5: Solve for x
    x = 68,414,009.79/11,771.49
  6. Step 6: Final answer
    x = 5,811.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.